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Finding the Fourth Proportional to 13,877.49, 20,813.96 and 5,977.87

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Solution

The fourth proportional to 13,877.49, 20,813.96 and 5,977.87 is: 8,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.49 : 20,813.96 = 5,977.87 : x
  2. Step 2: Convert to fraction form
    13,877.49/20,813.96 = 5,977.87/x
  3. Step 3: Cross multiply
    13,877.49x = 20,813.96 × 5,977.87
  4. Step 4: Simplify right side
    13,877.49x = 124,423,109.97
  5. Step 5: Solve for x
    x = 124,423,109.97/13,877.49
  6. Step 6: Final answer
    x = 8,965.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.